Unimodular Mimetic $F(R)$ Inflation

Abstract

We propose the unimodular-mimetic $F(R)$ gravity theory, to resolve cosmological constant problem and dark matter problem in a unified geometric manner. We demonstrate that such a theory naturally admits accelerating universe evolution. Furthermore, we construct unimodular-mimetic $F(R)$ inflationary cosmological scenarios compatible with the Planck and BICEP2/Keck-Array observational data. We also address the graceful exit issue, which is guaranteed by the existence of unstable de Sitter vacua.

References in corpus (34)

• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Beyond the Cosmological Standard Model
• Inflationary cosmology in modified gravity theories
• Extreme neutron stars from Extended Theories of Gravity
• On the Trace-Free Einstein Equations as a Viable Alternative to General Relativity
• Dust of Dark Energy
• Transverse Fierz-Pauli symmetry
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• The evolution of density perturbations in f(R) gravity
• On the recently proposed Mimetic Dark Matter
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• The Renormalization Group flow of unimodular f(R) gravity
• Dark energy from modified gravity with Lagrange multipliers
• Dynamical behavior in mimetic F(R) gravity
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Direct Detection of Dark Matter Rates for Various Wimps
• Unimodular gravity and general relativity from graviton self-interactions
• Inflation in a viscous fluid model
• Cosmological perturbations in mimetic matter model
• Cosmological Perturbations in Unimodular Gravity
• Unimodular $F(R)$ Gravity
• Inflation without Selfreproduction
• Gauss-Bonnet dark energy by Lagrange multipliers
• Canonical Analysis of Unimodular Gravity
• Testing Unimodular Gravity
• Mimetic covariant renormalizable gravity

Cited by in corpus (31)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological dynamics of mimetic gravity
• Recovering a MOND-like acceleration law in mimetic gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Analytic extensions of Starobinsky model of inflation
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Braneworld Mimetic Cosmology
• Dark Energy Oscillations in Mimetic $F(R)$ Gravity
• Thick branes with inner structure in mimetic gravity
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• Gravitational resonances in mimetic thick branes
• The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Topological black holes in mimetic gravity
• Structure formation in mimetic gravity
• Fundamental energy scale of the thick brane in mimetic gravity
• Reissner Nordstrom Metric in Unimodular Theory of Gravity
• Mimetic f(T) Teleparallel gravity and cosmology
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• New one-parametric extension of the Starobinsky inflationary model
• Isotropic stellar model in mimetic theory
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
• Higgs Inflation in Unimodular Gravity
• Unimodular Theory of Gravity in Light of the Latest Cosmological Data
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity